{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T17:19:20Z","timestamp":1782839960694,"version":"3.54.5"},"reference-count":45,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T00:00:00Z","timestamp":1762473600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100024370","name":"Ministero dell&apos;Istruzione dell&apos;Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100024370","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100017142","name":"Francesco Severi National Institute of Higher Mathematics National Group of Scientific Calculations","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100017142","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100009112","name":"Istituto Nazionale di Alta Matematica &quot;Francesco Severi&quot;","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100009112","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100021856","name":"Ministero dell&apos;Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["D53C24003350006"],"award-info":[{"award-number":["D53C24003350006"]}],"id":[{"id":"10.13039\/501100021856","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,5]]},"DOI":"10.1016\/j.cam.2025.117196","type":"journal-article","created":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T08:54:54Z","timestamp":1762505694000},"page":"117196","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":3,"special_numbering":"C","title":["Adapted numerical modeling for fake news diffusion on social networks"],"prefix":"10.1016","volume":"477","author":[{"given":"Dajana","family":"Conte","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Samira","family":"Iscaro","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6373-9473","authenticated-orcid":false,"given":"Giovanni","family":"Pagano","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Beatrice","family":"Paternoster","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2025.117196_b1","first-page":"333","article-title":"A multi-feature Bayesian approach for fake news detection","volume":"vol. 9","author":"Casillo","year":"2020"},{"key":"10.1016\/j.cam.2025.117196_b2","first-page":"255","article-title":"A short review of some mathematical methods to detect fake news","volume":"14","author":"Giordano","year":"2020","journal-title":"Circuits Systems Signal Process."},{"key":"10.1016\/j.cam.2025.117196_b3","series-title":"16th International Conference SITIS","article-title":"Influence of age group in the spreading of fake news: contact matrices in social media","author":"Cardone","year":"2022"},{"issue":"6","key":"10.1016\/j.cam.2025.117196_b4","article-title":"Analytical properties and numerical preservation of an age-group susceptible-infected-recovered model: Application to the diffusion of information","volume":"19","author":"Cardone","year":"2024","journal-title":"J. Comput. Nonlinear Dyn."},{"issue":"8","key":"10.1016\/j.cam.2025.117196_b5","doi-asserted-by":"crossref","first-page":"391","DOI":"10.3390\/a16080391","article-title":"Using epidemiological models to predict the spread of information on Twitter","volume":"16","author":"Castiello","year":"2023","journal-title":"Algorithms"},{"key":"10.1016\/j.cam.2025.117196_b6","series-title":"ICCSA","first-page":"90","article-title":"A modified seir model: stiffness analysis and application to the diffusion of fake news","author":"D\u2019Ambrosio","year":"2022"},{"issue":"9","key":"10.1016\/j.cam.2025.117196_b7","doi-asserted-by":"crossref","first-page":"222","DOI":"10.3390\/fi13090222","article-title":"Stiffness analysis to predict the spread out of fake information","volume":"13","author":"D\u2019Ambrosio","year":"2021","journal-title":"Futur. Internet"},{"key":"10.1016\/j.cam.2025.117196_b8","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.matcom.2024.08.024","article-title":"Global dynamics and numerical simulation of a modified epidemiological model for viral marketing on social networks","volume":"228","author":"Hoang","year":"2025","journal-title":"Math. Comput. Simulation"},{"key":"10.1016\/j.cam.2025.117196_b9","series-title":"Modeling the Spread of Information on Twitter","author":"Ignatius","year":"2018"},{"key":"10.1016\/j.cam.2025.117196_b10","series-title":"Using an epidemiological model to study the spread of misinformation during the black lives matter movement","author":"Maleki","year":"2021"},{"key":"10.1016\/j.cam.2025.117196_b11","series-title":"Information Spread in a Social Media Age: Modeling and Control","author":"Muhlmeyer","year":"2021"},{"issue":"4","key":"10.1016\/j.cam.2025.117196_b12","doi-asserted-by":"crossref","first-page":"5187","DOI":"10.1109\/JSYST.2020.2993542","article-title":"Modeling social contagion and information diffusion in complex socio-technical systems","volume":"14","author":"Muhlmeyer","year":"2020","journal-title":"IEEE Syst. J."},{"issue":"1","key":"10.1016\/j.cam.2025.117196_b13","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/s13278-023-01130-8","article-title":"On the usage of epidemiological models for information diffusion over twitter","volume":"13","author":"Sivaraman","year":"2023","journal-title":"Soc. Netw. Anal. Min."},{"key":"10.1016\/j.cam.2025.117196_b14","volume":"vol. 7","author":"Wang","year":"2020"},{"issue":"4","key":"10.1016\/j.cam.2025.117196_b15","doi-asserted-by":"crossref","first-page":"1487","DOI":"10.1142\/S0218339024400035","article-title":"Fractal-fractional sirs model for the disease dynamics in both prey and predator with singular and nonsingular kernels","volume":"32","author":"Ahmad","year":"2024","journal-title":"J. Biol. Syst."},{"key":"10.1016\/j.cam.2025.117196_b16","first-page":"9","article-title":"An introduction to mathematical epidemiology","volume":"61","author":"Martcheva","year":"2015","journal-title":"N. Y. Springer"},{"key":"10.1016\/j.cam.2025.117196_b17","series-title":"Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic","author":"Treibert","year":"2021"},{"issue":"1","key":"10.1016\/j.cam.2025.117196_b18","article-title":"Stiff problems nowadays: Novel numerics and fake news","volume":"2849","author":"Conte","year":"2023","journal-title":"In AIP Conf. Proc."},{"key":"10.1016\/j.cam.2025.117196_b19","series-title":"Numerical Approximation of Ordinary Differential Problems: From Deterministic To Stochastic Numerical Methods","first-page":"1","author":"D\u2019Ambrosio","year":"2023"},{"issue":"2","key":"10.1016\/j.cam.2025.117196_b20","doi-asserted-by":"crossref","first-page":"A953","DOI":"10.1137\/23M1568971","article-title":"A numerical method for the stability analysis of linear age-structured models with nonlocal diffusion","volume":"46","author":"Breda","year":"2024","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"10.1016\/j.cam.2025.117196_b21","doi-asserted-by":"crossref","first-page":"1843","DOI":"10.1051\/m2an\/2022042","article-title":"Positivity-preserving methods for ordinary differential equations","volume":"56","author":"Blanes","year":"2022","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"2","key":"10.1016\/j.cam.2025.117196_b22","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1007\/s10915-019-00956-9","article-title":"Strong stability preserving properties of composition Runge\u2013Kutta schemes","volume":"80","author":"Higueras","year":"2019","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.cam.2025.117196_b23","article-title":"Strong stability preserving second derivative multistep methods","author":"Khakzad","year":"2024","journal-title":"Numer. Algorithms"},{"key":"10.1016\/j.cam.2025.117196_b24","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/j.apnum.2021.10.017","article-title":"Positivity preserving stochastic \u03b8-methods for selected SDEs","volume":"172","author":"Scalone","year":"2022","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.cam.2025.117196_b25","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.cam.2013.04.042","article-title":"Dynamically consistent nonstandard finite difference schemes for epidemiological models","volume":"255","author":"Anguelov","year":"2014","journal-title":"J. Comput. Appl. Math."},{"issue":"5","key":"10.1016\/j.cam.2025.117196_b26","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1002\/num.1025","article-title":"Contributions to the mathematics of the nonstandard finite difference method and applications","volume":"17","author":"Anguelov","year":"2001","journal-title":"Numer. Methods Partial. Differ. Equ."},{"issue":"5","key":"10.1016\/j.cam.2025.117196_b27","first-page":"65","article-title":"Positivity-preserving and elementary stable nonstandard method for a COVID-19 SIR model","volume":"15","author":"Conte","year":"2022","journal-title":"Dolomites Res. Notes Approx."},{"issue":"3","key":"10.1016\/j.cam.2025.117196_b28","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1134\/S1995423922030041","article-title":"On the advantages of nonstandard finite difference discretizations for differential problems","volume":"15","author":"Conte","year":"2022","journal-title":"Numer. Anal. Appl."},{"key":"10.1016\/j.cam.2025.117196_b29","unstructured":"D. Conte, G. Pagano, T. Roldan, High Order Nonstandard Finite-Difference Methods. Submitted."},{"key":"10.1016\/j.cam.2025.117196_b30","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2022.114790","article-title":"Nonstandard finite differences numerical methods for a vegetation reaction\u2013diffusion model","volume":"419","author":"Conte","year":"2023","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2025.117196_b31","first-page":"388","article-title":"Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation","volume":"258","author":"Garba","year":"2015","journal-title":"Appl. Math. Comput."},{"issue":"11","key":"10.1016\/j.cam.2025.117196_b32","doi-asserted-by":"crossref","first-page":"2165","DOI":"10.1016\/j.camwa.2013.06.034","article-title":"A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models","volume":"66","author":"Gurski","year":"2013","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.cam.2025.117196_b33","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2024.115752","article-title":"A second-order nonstandard finite difference method for a general Rosenzweig\u2013MacArthur predator\u2013prey model","volume":"444","author":"Hoang","year":"2024","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"10.1016\/j.cam.2025.117196_b34","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1002\/num.20198","article-title":"Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition","volume":"23","author":"Mickens","year":"2007","journal-title":"Numer. Methods Partial. Differ. Equ."},{"issue":"9","key":"10.1016\/j.cam.2025.117196_b35","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1012387","article-title":"A Physics-informed neural network approach for compartmental epidemiological models","volume":"20","author":"Millevoi","year":"2024","journal-title":"PLoS Comput. Biol."},{"key":"10.1016\/j.cam.2025.117196_b36","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.camwa.2021.10.026","article-title":"Bivariate collocation for computing R0 in epidemic models with two structures","volume":"116","author":"Breda","year":"2022","journal-title":"Comput. Math. Appl."},{"issue":"4","key":"10.1016\/j.cam.2025.117196_b37","doi-asserted-by":"crossref","first-page":"5360","DOI":"10.3934\/mbe.2024236","article-title":"Approximating reproduction numbers: a general numerical method for age-structured models","volume":"21","author":"De Reggi","year":"2024","journal-title":"Math. Biosci. Eng."},{"key":"10.1016\/j.cam.2025.117196_b38","volume":"vol. 2","author":"Pagani","year":"2016"},{"key":"10.1016\/j.cam.2025.117196_b39","series-title":"Nonstandard Finite Difference Models of Differential Equations","author":"Mickens","year":"1993"},{"key":"10.1016\/j.cam.2025.117196_b40","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1080\/10236190412331334527","article-title":"Dynamic consistency: A fundamental principle for constructing nonstandard finite difference schemes for differential equations","volume":"11","author":"Mickens","year":"2005","journal-title":"J. Diff. Eq. Appl."},{"key":"10.1016\/j.cam.2025.117196_b41","series-title":"Twitter developer option","year":"2022"},{"key":"10.1016\/j.cam.2025.117196_b42","series-title":"Tweepy documentation","year":"2022"},{"key":"10.1016\/j.cam.2025.117196_b43","series-title":"Treccani encyclopedia","year":"2024"},{"key":"10.1016\/j.cam.2025.117196_b44","series-title":"Epidemic Models: Their Structure and Relation To Data","first-page":"84","article-title":"How does transmission of infection depend on population size?","author":"De Jong","year":"1996"},{"key":"10.1016\/j.cam.2025.117196_b45","series-title":"Age-Structured Population Dynamics in Demography and Epidemiology","first-page":"1","author":"Inaba","year":"2017"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042725007101?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042725007101?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T12:47:09Z","timestamp":1773319629000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042725007101"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5]]},"references-count":45,"alternative-id":["S0377042725007101"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2025.117196","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Adapted numerical modeling for fake news diffusion on social networks","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2025.117196","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"117196"}}